Problem 111 of 7
Compare functions f(x)=x^2+3x and g(x)=5x-2 by average rate over interval [0,3].
Hints
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calculate or estimate rate for both.
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Both functions must be defined at interval endpoints.
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Solution
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1. Compute average rate of change for each function over the same interval.
2. Compare signs and magnitudes.
3. State which changes faster or whether they are equal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Comparing endpoint values only without rate calculation.